Final answer:
P = 0.0049 and P < 0.03 are significant since both are less than the significance level of 0.05. P = 0.93 and P > 0.05 are not significant as they are greater than 0.05. therefore correct option is 4) P > 0.05
Step-by-step explanation:
To determine which p-values are significant, we compare each p-value to a pre-established significance level (α), often set at 0.05. A p-value lower than α indicates that the observed data are unlikely under the null hypothesis, and we reject the null hypothesis. Here's a comparison between the provided p-values and the common significance level of 0.05:
P = 0.0049 is significant because it is less than α = 0.05.
P = 0.93 is not significant since it is much greater than α = 0.05.
P < 0.03 is significant as it is specifically less than α = 0.05.
P > 0.05 is not significant as it indicates a value greater than α.
A p-value is considered significant if it is less than the chosen significance level, which is usually α = 0.05. In other words, if the p-value is less than 0.05, we reject the null hypothesis. Based on the given values:
p = 0.0049, which is less than 0.05, so it is significant.
p = 0.93, which is greater than 0.05, so it is not significant.
p < 0.03, which is less than 0.05, so it is significant.
p > 0.05, which means it is not significant.
Therefore correct option is 4) P > 0.05